1074364450200 has 144 divisors (see below), whose sum is σ = 3636484750080. Its totient is φ = 284241242880.

The previous prime is 1074364450177. The next prime is 1074364450207. The reversal of 1074364450200 is 20544634701.

1074364450200 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 3 + 6 + 445 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074364450207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2121279 + ... + 2578478.

It is an arithmetic number, because the mean of its divisors is an integer number (25253366320).

Almost surely, 2^{1074364450200} is an apocalyptic number.

1074364450200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074364450200 is an abundant number, since it is smaller than the sum of its proper divisors (2562120299880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1074364450200 is a wasteful number, since it uses less digits than its factorization.

1074364450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699906 (or 4699894 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1074364450200 in words is "one trillion, seventy-four billion, three hundred sixty-four million, four hundred fifty thousand, two hundred".